A sum of ₹17,200 is lent out at simple interest in two parts for 2 years at 8% p.a. and 10% p.a., respectively. If the total interest received after 2 years is ₹3,008, then the money lent (in ₹) at the rate of 8% p.a. is :

10,800

Total Principal = 17200 Rs

17200 is divided into two parts same at 8% and same part is at 105 per annum.

Interest = 3008 for 2 years

Interest for 1 year = \(\frac{3008}{2}\)

= Rs 1504

If both part is at 8%

So Interest = 8% of 17200

= 1376 Rs

17200            I                 II

                    8%             10%

                                     8%+2%

Extra Interest = 1504-1376

                    = 128 Rs

ATQ

2% = 128

1% = 64

100% = 6400

So Principal P2 = 6400

Interest = 17200-6400

            = Rs 10800